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A characterization of bielliptic curves via syzygy schemes
Institution:1. Faculty of Mathematics and Computer Science, University of Bucharest, 14 Academiei Street, 010014 Bucharest, Romania;2. Simion Stoilow Institute of Mathematics of the Romanian Academy, P.O. Box 1-764, 014700 Bucharest, Romania;3. Dipartimento di Matematica e Fisica, Università degli Studi Roma Tre, Largo San Leonardo Murialdo, I-00146 Roma, Italy;1. Institut de Recherche en Mathématique et en Physique, Université Catholique de Louvain, 2, Chemin du Cyclotron, 1348 Louvain-La-Neuve, Belgium;2. Department of Mathematics, Mathematics Building, University of Maryland, College Park, MD 20742, United States
Abstract:We prove that a canonical curve C of genus ≥11 is bielliptic if and only if its second syzygy scheme Syz2(C) is different from C.
Keywords:14H51  13D02
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